Unexpected Spin-Off from Quantum Gravity

Abstract

We propose a novel way of investigating the universal properties of spin systems by coupling them to an ensemble of causal dynamically triangulated lattices, instead of studying them on a fixed regular or random lattice. Somewhat surprisingly, graph-counting methods to extract high- or low-temperature series expansions can be adapted to this case. For the two-dimensional Ising model, we present evidence that this ameliorates the singularity structure of thermodynamic functions in the complex plane, and improves the convergence of the power series.

10 pages, 4 figures; final, slightly amended version, to appear in Physica A

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• Shaken, but not stirred - Potts model coupled to quantum gravity
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• Quantum Gravity and Matter: Counting Graphs on Causal Dynamical Triangulations
• Coupled intertwiner dynamics: A toy model for coupling matter to spin foam models
• Sums over geometries and improvements on the mean field approximation
• Quantum Gravity from Simplices: Analytical Investigations of Causal Dynamical Triangulations
• Conformal Dimensions On Causal Random Geometry